41 citations · 279 across the 62 of their papers we have counts for
7 papers · 2 filters
Periodic maximal flats are not peripheral
Alexandra Pettet, Juan Souto
We prove that every non-positively curved locally symmetric manifold M of finite volume contains a compact set K such that no periodic maximal flat can be homotoped out of K.
Some groups of mapping classes not realized by diffeomorphisms
Mladen Bestvina, Thomas Church, Juan Souto
Let S be a closed surface of genus g >= 2 and z in S a marked point. We prove that the subgroup of the mapping class group Map(S,z) corresponding to the fundamental group pi_1(S,z)…
Geometric limits of knot complements, II: Graphs determined by their complements
Richard P. Kent, Juan Souto
We prove that there are compact submanifolds of the 3-sphere whose interiors are not homeomorphic to any geometric limit of hyperbolic knot complements.
Geometry, Heegaard splittings and rank of the fundamental group of hyperbolic 3-manifolds
Juan Souto
In this survey we discuss how geometric methods can be used to study topological properties of 3-manifolds such as their Heegaard genus or the rank of their fundamental group. On t…
Geometric limits of knot complements
Jessica S. Purcell, Juan Souto
We prove that any complete hyperbolic 3--manifold with finitely generated fundamental group, with a single topological end, and which embeds into $\BS^3$ is the geometric limit of…
Shearing coordinates and convexity of length functions on Teichmueller space
M. Bestvina, K. Bromberg, K. Fujiwara +1
We prove that there are Fenchel-Nielsen coordinates for the Teichmueller space of a finite area hyperbolic surface with respect to which the length functions are convex.